Submission #1124709

#TimeUsernameProblemLanguageResultExecution timeMemory
1124709_callmelucianKnapsack (NOI18_knapsack)C++20
0 / 100
0 ms324 KiB
#include <bits/stdc++.h> using namespace std; typedef long long ll; typedef long double ld; typedef pair<ll,ll> pl; typedef pair<int,int> pii; typedef tuple<int,int,int> tpl; #define all(a) a.begin(), a.end() #define filter(a) a.erase(unique(all(a)), a.end()) const int mn = 1e5 + 5; ll V[mn], W[mn], K[mn], dp[2][2020], used[2020]; struct dqTrick { deque<ll> dq; void push (ll x) { while (dq.size() && dq.back() < x) dq.pop_back(); dq.push_back(x); } void pop (ll x) { if (dq.size() && dq.front() == x) dq.pop_front(); } ll best() { return (dq.empty() ? LLONG_MIN : dq.front()); } }; int main() { ios::sync_with_stdio(0); cin.tie(0); int S, n; cin >> S >> n; for (int i = 1; i <= n; i++) cin >> V[i] >> W[i] >> K[i]; vector<int> ord(n); for (int i = 1; i <= n; i++) ord[i - 1] = i; sort(all(ord), [&] (int a, int b) { return V[a] > V[b]; }); for (int it = 0; it < n; it++) { int t = it & 1, i = ord[it]; used[W[i]] += K[i]; if (used[W[i]] > S / W[i]) continue; vector<dqTrick> opt(W[i]); for (int j = 0; j <= S; j++) { int R = j % W[i], D = j / W[i]; opt[R].push(dp[t ^ 1][j] - D * V[i]); if (j >= W[i] * (K[i] + 1)) opt[R].pop(dp[t ^ 1][j - W[i] * (K[i] + 1)] - (D - K[i] - 1) * V[i]); dp[t][j] = opt[R].best() + D * V[i]; } } cout << dp[(n - 1) & 1][S]; return 0; }
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